UPSC CDS II Syllabus 2020


UPSC CDS II Syllabus 2020 

ENGLISH (Code No. 01) 

The question paper will be designed to test the candidates’ understanding of 
English and workmanlike use of words. 
General Knowledge including knowledge of current events and of such matters of 
everyday observation and experience in their scientific aspects as may be expected of 
an educated person who has not made a special study of any scientific subject. The 
paper will also include questions on History of India and Geography of a nature 
which candidate should be able to answer without special study. 


Number System—Natural numbers, Integers, Rational and Real numbers. 
Fundamental operations, addition, substraction, multiplication, division, Square 
roots, Decimal fractions. Unitary method, time and distance, time and work, 
percentages, applications to simple and compound interest, profit and loss, ratio and 
proportion, variation. 
Elementary Number Theory—Division algorithm. Prime and composite numbers. 
Tests of divisibility by 2, 3, 4, 5, 9 and 11. Multiples and factors. Factorisation 
Theorem. H.C.F. and L.C.M. Euclidean algorithm. Logarithms to base 10, laws of 
logarithms, use of logarithmic tables. 


Basic Operations, simple factors, Remainder Theorem, H.C.F., L.C.M., Theory of 
polynomials, solutions of quadratic equations, relation between its roots and 
coefficients (Only real roots to be considered). Simultaneous linear equations in two 
unknowns—analytical and graphical solutions. Simultaneous linear inequations in 
two variables and their solutions. Practical problems leading to two simultaneous 
linear equations or inequations in two variables or quadratic equations in one variable & their solutions. Set language and set notation, Rational expressions and 
conditional identities, Laws of indices. 


Sine ×, cosine ×, Tangent × when 0° < × < 90° Values of sin ×, cos × and tan ×, for × 
= 0°, 30°, 45°, 60° and 90° 
Simple trigonometric identities. 
Use of trigonometric tables. 
Simple cases of heights and distances. 


Lines and angles, Plane and plane figures, Theorems on (i) Properties of angles at 
a point, (ii) Parallel lines, (iii) Sides and angles of a triangle, (iv) Congruency of 
triangles, (v) Similar triangles, (vi) Concurrence of medians and altitudes, (vii) 
Properties of angles, sides and diagonals of a parallelogram, rectangle and square, 
(viii) Circles and its properties including tangents and normals, (ix) Loci. 


Areas of squares, rectangles, parallelograms, triangle and circle. Areas of figures 
which can be split up into these figures (Field Book), Surface area and volume of 
cuboids, lateral surface and volume of right circular cones and cylinders, surface 
area and volume of spheres. 


Collection and tabulation of statistical data, Graphical representation frequency 
polygons, histograms, bar charts, pie charts etc. Measures of central tendency.
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